Consider the following three systems of linear equations. System A System B System C 5x 8y=-6 [A1] 20x-32y=-24 [B1] 13y=-39 [C1] 4x-9y=3 [A2] 4x-9y=3 [B2] 4x-9y=3 [C2] Answer the questions below. For each, choose the transformation and then fill in the blank with the correct number. The arrow (→) means the expression on the left becomes the expression on the right. (a) How do we transform System A into System B? o ☐ x Equation [A1] -> Equation [B1] ☐ x Equation [A2] Equation [B2] x Equation [A1] + Equation [A2] →Equation [B2] × Equation [A2] + Equation [A1] Equation [B1] - × Equation [A1] + Equation [A2] Equation [B2] O x Equation [A2] + Equation [A1] - Equation [B1] (b) How do we transform System B into System C? Ox Equation [B1] x Equation [B1] Equation [C1] ->> x Equation [B2] Equation [C2] O x Equation [B1] + Equation [B2] ->>> Equation [C2] Ox Equation [B2] + Equation [B1] Equation [C1] →
Consider the following three systems of linear equations. System A System B System C 5x 8y=-6 [A1] 20x-32y=-24 [B1] 13y=-39 [C1] 4x-9y=3 [A2] 4x-9y=3 [B2] 4x-9y=3 [C2] Answer the questions below. For each, choose the transformation and then fill in the blank with the correct number. The arrow (→) means the expression on the left becomes the expression on the right. (a) How do we transform System A into System B? o ☐ x Equation [A1] -> Equation [B1] ☐ x Equation [A2] Equation [B2] x Equation [A1] + Equation [A2] →Equation [B2] × Equation [A2] + Equation [A1] Equation [B1] - × Equation [A1] + Equation [A2] Equation [B2] O x Equation [A2] + Equation [A1] - Equation [B1] (b) How do we transform System B into System C? Ox Equation [B1] x Equation [B1] Equation [C1] ->> x Equation [B2] Equation [C2] O x Equation [B1] + Equation [B2] ->>> Equation [C2] Ox Equation [B2] + Equation [B1] Equation [C1] →
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter9: Systems Of Linear Equations
Section9.1: The Graphing Method
Problem 7OE
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